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Finding the Fourth Proportional to 266,978.40, 399,884.40 and 207,346.20

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Solution

The fourth proportional to 266,978.40, 399,884.40 and 207,346.20 is: 310,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,978.40 : 399,884.40 = 207,346.20 : x
  2. Step 2: Convert to fraction form
    266,978.40/399,884.40 = 207,346.20/x
  3. Step 3: Cross multiply
    266,978.40x = 399,884.40 × 207,346.20
  4. Step 4: Simplify right side
    266,978.40x = 82,914,510,779.28
  5. Step 5: Solve for x
    x = 82,914,510,779.28/266,978.40
  6. Step 6: Final answer
    x = 310,566.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.